1 citations · 1 across the 20 of their papers we have counts for
20 papers
Perturbation Power Selection for First-Error Delay Maximization in Enhanced SC Decoding
Zhicheng Liu, Liuquan Yao, Shuai Yuan +5
In this paper, we analyze the effect of perturbation power in delaying the first error position, i.e., the first information bit incorrectly decoded by the successive cancellation…
Reliability-Dependent Scaling Laws of Deterministic Identification over Binary Symmetric Channels
Zhicheng Liu, Liuquan Yao, Guiying Yan +2
In this paper, we study the asymptotic behavior of deterministic identification (DID) over binary symmetric channels (BSCs) under vanishing error constraints. By introducing a mini…
Stitched Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang +4
In this paper, we introduce stitched polar codes, a novel generalization of Arıkan's regular polar codes. Our core methodology reconfigures the fundamental polarization process by…
The Impact of the Distance Between Cycles on Elementary Trapping Sets
Haoran Xiong, Guanghui Wang, Zhiming Ma +1
Elementary trapping sets (ETSs) are the main culprits of the performance of low-density parity-check (LDPC) codes in the error floor region. Due to their large quantities and compl…
On the lifting degree of girth-8 QC-LDPC codes
Haoran Xiong, Guanghui Wang, Zhiming Ma +1
The lifting degree and the deterministic construction of quasi-cyclic low-density parity-check (QC-LDPC) codes have been extensively studied, with many construction methods in the…
Partial Orders in Rate-Matched Polar Codes
Zhichao Liu, Liuquan Yao, Yuan Li +4
In this paper, we establish the partial order (POs) for both the binary erasure channel (BEC) and the binary memoryless symmetric channel (BMSC) under any block rate-matched polar…
A Method to Reduce the Complexity of Computing the Complete Weight Distribution of Polar Codes
Zhichao Liu, Zhiming Ma, Guiying Yan
The code spectrum of polar codes is crucial to the performance of polar codes. Based on the lower-triangular affine group (LTA) of decreasing monomial codes and the one-variable de…
On the Weight Spectrum of Rate-Compatible Polar Codes
Zicheng Ye, Yuan Li, Zhichao Liu +4
The weight spectrum plays a crucial role in the performance of error-correcting codes. Despite substantial theoretical exploration of polar codes with mother code length, a framewo…
Achievability Bounds on Unequal Error Protection Codes
Liuquan Yao, Shuai Yuan, Yuan Li +4
Unequal error protection (UEP) codes can facilitate the transmission of messages with different protection levels. In this paper, we study the achievability bounds on UEP by the ge…
New Partial Orders of Polar Codes for BMSC
Liuquan Yao, Zhichao Liu, Yuan Li +4
In this paper, we define partial orders (POs) of polar codes based on the Bhattacharyya parameter and the bit-error probability, respectively. These POs are applicable to arbitrary…
Second-Order Identification Capacity of AWGN Channels
Zhicheng Liu, Yuan Li, Huazi Zhang +3
In this paper, we establish the second-order randomized identification capacity (RID capacity) of the Additive White Gaussian Noise Channel (AWGNC). On the one hand, we obtain a re…
Density Evolution Analysis of Generalized Low-density Parity-check Codes under a Posteriori Probability Decoder
Dongxu Chang, Qingqing Peng, Zhiming Ma +2
In this study, the performance of generalized low-density parity-check (GLDPC) codes under the a posteriori probability (APP) decoder is analyzed. We explore the concentration, sym…
Achieving the Fundamental Limit of Lossless Analog Compression via Polarization
Shuai Yuan, Liuquan Yao, Yuan Li +4
In this paper, we study the lossless analog compression for i.i.d. nonsingular signals via the polarization-based framework. We prove that for nonsingular source, the error probabi…
On the Weight Distribution of Weights Less than in Polar Codes
Zicheng Ye, Yuan Li, Huazi Zhang +3
The number of low-weight codewords is critical to the performance of error-correcting codes. In 1970, Kasami and Tokura characterized the codewords of Reed-Muller (RM) codes whose…
On the Weight Spectrum Improvement of Pre-transformed Reed-Muller Codes and Polar Codes
Yuan Li, Zicheng Ye, Huazi Zhang +3
Pre-transformation with an upper-triangular matrix (including cyclic redundancy check (CRC), parity-check (PC) and polarization-adjusted convolutional (PAC) codes) improves the wei…
Theoretical Bounds for the Size of Elementary Trapping Sets by Graphic Methods
Haoran Xiong, Zicheng Ye, Huazi Zhang +6
Elementary trapping sets (ETSs) are the main culprits for the performance of LDPC codes in the error floor region. Due to the large quantity, complex structures, and computational…
An Optimization Model for Offline Scheduling Policy of Low-density Parity-check Codes
Dongxu Chang, Zhiming Ma, Guanghui Wang +2
In this study, an optimization model for offline scheduling policy of low-density parity-check (LDPC) codes is proposed to improve the decoding efficiency of the belief propagation…
On the Message Passing Efficiency of Polar and Low-Density Parity-Check Decoders
Dawei Yin, Yuan Li, Xianbin Wang +8
This study focuses on the efficiency of message-passing-based decoding algorithms for polar and low-density parity-check (LDPC) codes. Both successive cancellation (SC) and belief…
Deterministic Identification over Channels without CSI
Yuan Li, Xianbin Wang, Huazi Zhang +4
Identification capacities of randomized and deterministic identification were proved to exceed channel capacity for Gaussian channels \emph{with} channel side information (CSI). In…
The Complete SC-invariant Affine Automorphisms of Polar Codes
Zicheng Ye, Yuan Li, Huazi Zhang +4
Automorphism ensemble (AE) decoding for polar codes was proposed by decoding permuted codewords with successive cancellation (SC) decoders in parallel and hence has lower latency c…